GCD of 450, 189, 313 Calculator

Given Input numbers are 450, 189, 313

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 450, 189, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 189, 313 is 1.

Therefore, GCD of numbers 450, 189, 313 is 1

Given Input Data is 450, 189, 313

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 313 is 313

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(450, 189) = 9450

GCD(450, 189) = ( 450 x 189 ) / 9450

GCD(450, 189) = 85050 / 9450

GCD(450, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 313

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 313) = 2817

GCD(9, 313) = ( 9 x 313 ) / 2817

GCD(9, 313) = 2817 / 2817

GCD(9, 313) = 1

GCD of 450, 189, 313 is 1

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• GCD of 377, 989, 113
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1. What is the GCD of 450, 189, 313?

GCD of 450, 189, 313 is 1

2. Where do I get the detailed procedure to find GCD of 450, 189, 313?

You can find a detailed procedure to find GCD of 450, 189, 313 on our page.

3. How to find GCD of 450, 189, 313 on a calculator?

You can find the GCD of 450, 189, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.